Transport on Directed Percolation Clusters

Details Transport on Directed Percolation Clusters Transport on Directed Percolation Clusters

2000-07-26

arxiv.org/abs/cond-mat/0007410v3

Phys. Rev. E 63, 025103(R) (2001)

Physics

Condensed Matter

Statistical Mechanics

4 pages

Scientific paper

10.1103/PhysRevE.63.025103

We study random lattice networks consisting of resistor like and diode like bonds. For investigating the transport properties of these random resistor diode networks we introduce a field theoretic Hamiltonian amenable to renormalization group analysis. We focus on the average two-port resistance at the transition from the nonpercolating to the directed percolating phase and calculate the corresponding resistance exponent $\phi$ to two-loop order. Moreover, we determine the backbone dimension $D_B$ of directed percolation clusters to two-loop order. We obtain a scaling relation for $D_B$ that is in agreement with well known scaling arguments.

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